133330344400 has 120 divisors (see below), whose sum is σ = 351259553664. Its totient is φ = 48232243200.

The previous prime is 133330344391. The next prime is 133330344409. The reversal of 133330344400 is 4443033331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133330344391) and next prime (133330344409).

It is a super-2 number, since 2×133330344400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133330344409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770697 + ... + 927703.

Almost surely, 2^133330344400 is an apocalyptic number.

133330344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133330344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175629776832).

133330344400 is an abundant number, since it is smaller than the sum of its proper divisors (217929209264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133330344400 is a wasteful number, since it uses less digits than its factorization.

133330344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157229 (or 157218 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 133330344400 its reverse (4443033331), we get a palindrome (137773377731).

The spelling of 133330344400 in words is "one hundred thirty-three billion, three hundred thirty million, three hundred forty-four thousand, four hundred".